

A330519


Circulant determinant chain starting at 1007749


1



1007749, 18791108, 186878195, 1050017609, 9619142907, 4098030816, 59235488169, 43035664380, 25214990766, 189627605493, 779029018560, 14532890711040, 364989611366055, 1929185790836472, 1121729573175075, 13492031465869425, 329600773788765624
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OFFSET

1,1


COMMENTS

Form a circulant matrix from a given number. Find the determinant. Use that determinant to form the next circulant matrix. Repeat. If a determinant is negative, multiply each element of the next matrix by 1. 1007749 is the smallest number whose chain appears to increase without bound. (It would be nice to have a proof that this chain is unbounded!)
If we had started at 247, the next term in the chain, and all subsequent terms, would be 247, since (see A219324)
.......... 2 4 7 
247 = det  7 2 4 .  N. J. A. Sloane, Dec 18 2019
.......... 4 7 2 


LINKS

Jeff Heleen, Circulant determinant chain for 1007749: gives table of n, a(n) for n from 1 to 36.
N. J. A. Sloane, Recent and Noteworthy Sequences in the OEIS, Dec. 18, 2012


CROSSREFS

Cf. A219324.
Sequence in context: A059925 A065327 A234035 * A066354 A220289 A133219
Adjacent sequences: A330516 A330517 A330518 * A330520 A330521 A330522


KEYWORD

sign,base


AUTHOR

Jeff Heleen, Dec 17 2019


STATUS

approved



